I think it will be a good improvment
For the moment, i keep track of different Moodle automated tasks, like cron executions, CAS synchronisation, Automated Backups and Course enrolments (via DB) in several different log files per type and date of execution.
I've then created a bash script to verify these files daily (or weekly), and send an email to have an easy way to know what isn't good on my Moodle installation. It also allows my (Admin) collegues, less technical, with no direct access to the server to be warned when something is wrong (even if i'm away).
This improvment seems promising. Hope you can also provide a way to directly inform admins if something is wrong ; perhaps with a dedicated task, or an email...